Answer:
sa (surface area) = 
Step-by-step explanation:
I hope this helps! Have a fantastic day/night!
Answer:
C
Step-by-step explanation:
Because c has the variables in the right spot and the other ones don't make scene
Answer:
C: is a function because each input (x) has exactly one output( y).
Step-by-step explanation:
A function is when one input (x) has exactly one output (y).
A: is not a function because -4 is paired with two different y values.
B: is not a function because -4 is paired with two different y values.
C: is a function because each input (x) has exactly one output( y).
D: is not a function because -1 is paired with two different y values.
You find the eigenvalues of a matrix A by following these steps:
- Compute the matrix
, where I is the identity matrix (1s on the diagonal, 0s elsewhere) - Compute the determinant of A'
- Set the determinant of A' equal to zero and solve for lambda.
So, in this case, we have
![A = \left[\begin{array}{cc}1&-2\\-2&0\end{array}\right] \implies A'=\left[\begin{array}{cc}1&-2\\-2&0\end{array}\right]-\left[\begin{array}{cc}\lambda&0\\0&\lambda\end{array}\right]=\left[\begin{array}{cc}1-\lambda&-2\\-2&-\lambda\end{array}\right]](https://tex.z-dn.net/?f=A%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1%26-2%5C%5C-2%260%5Cend%7Barray%7D%5Cright%5D%20%5Cimplies%20A%27%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1%26-2%5C%5C-2%260%5Cend%7Barray%7D%5Cright%5D-%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D%5Clambda%260%5C%5C0%26%5Clambda%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1-%5Clambda%26-2%5C%5C-2%26-%5Clambda%5Cend%7Barray%7D%5Cright%5D)
The determinant of this matrix is
Finally, we have
So, the two eigenvalues are
A:12/3 = -4
b:-12/3 = -4
c:-12/-12 = 4
e:-5/5 = -1
f:5/-5 = -1
g:-5/-5 = 1
